86587650 has 96 divisors (see below), whose sum is σ = 246412800. Its totient is φ = 22334400.

The previous prime is 86587643. The next prime is 86587673. The reversal of 86587650 is 5678568.

86587650 is a `hidden beast` number, since 8 + 6 + 587 + 65 + 0 = 666.

It is a super-2 number, since 2×86587650² = 14994842265045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 86587596 and 86587605.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40816 + ... + 42884.

It is an arithmetic number, because the mean of its divisors is an integer number (2566800).

Almost surely, 2^86587650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86587650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123206400).

86587650 is an abundant number, since it is smaller than the sum of its proper divisors (159825150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86587650 is a wasteful number, since it uses less digits than its factorization.

86587650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 86587650 is about 9305.2485189811. The cubic root of 86587650 is about 442.4035986494.

The spelling of 86587650 in words is "eighty-six million, five hundred eighty-seven thousand, six hundred fifty".